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Phys Rev Lett. 2009 Mar 6;102(9):096801. Epub 2009 Mar 2.

Edge states in graphene: from gapped flat-band to gapless chiral modes.

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1
Department of Physics, The University of Texas, Austin, Texas 78712-0264, USA.

Abstract

We study edge states in graphene systems where a bulk energy gap is opened by inversion symmetry breaking. We find that the edge bands dispersion can be controlled by potentials applied on the boundary with unit cell length scale. Under certain boundary potentials, gapless edge states with valley-dependent velocity are found, exactly analogous to the spin-dependent gapless chiral edge states in quantum spin Hall systems. The connection of the edge states to bulk topological properties is revealed.

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